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Simplifying 2[w + -1(2w + 11) + 7] = 2(w + 4) Reorder the terms: 2[w + -1(11 + 2w) + 7] = 2(w + 4) 2[w + (11 * -1 + 2w * -1) + 7] = 2(w + 4) 2[w + (-11 + -2w) + 7] = 2(w + 4) Reorder the terms: 2[-11 + 7 + w + -2w] = 2(w + 4) Combine like terms: -11 + 7 = -4 2[-4 + w + -2w] = 2(w + 4) Combine like terms: w + -2w = -1w 2[-4 + -1w] = 2(w + 4) [-4 * 2 + -1w * 2] = 2(w + 4) [-8 + -2w] = 2(w + 4) Reorder the terms: -8 + -2w = 2(4 + w) -8 + -2w = (4 * 2 + w * 2) -8 + -2w = (8 + 2w) Solving -8 + -2w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -8 + -2w + -2w = 8 + 2w + -2w Combine like terms: -2w + -2w = -4w -8 + -4w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + -4w = 8 + 0 -8 + -4w = 8 Add '8' to each side of the equation. -8 + 8 + -4w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = 8 + 8 -4w = 8 + 8 Combine like terms: 8 + 8 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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